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Finding the Fourth Proportional to 344,543.26, 516,288.62 and 144,754.42

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Solution

The fourth proportional to 344,543.26, 516,288.62 and 144,754.42 is: 216,910.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,543.26 : 516,288.62 = 144,754.42 : x
  2. Step 2: Convert to fraction form
    344,543.26/516,288.62 = 144,754.42/x
  3. Step 3: Cross multiply
    344,543.26x = 516,288.62 × 144,754.42
  4. Step 4: Simplify right side
    344,543.26x = 74,735,059,740.70
  5. Step 5: Solve for x
    x = 74,735,059,740.70/344,543.26
  6. Step 6: Final answer
    x = 216,910.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.